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Olenka [21]
3 years ago
10

I need help in Kahn academy

Mathematics
2 answers:
gulaghasi [49]3 years ago
7 0

First, convert the mixed fractions into improper fractions:

3\frac{1}{8} = \frac{8(3) + 1}{8} = \frac{25}{8}

1\frac{2}{3} = \frac{3(1) + 2}{3} = \frac{5}{3}

Next, divide a fraction by multiplying by the reciprocal:

\frac{25}{8} ÷ \frac{5}{3} = \frac{25}{8} x \frac{3}{5} = \frac{25(3)}{8(5)}

Lastly, simplify the fraction:

\frac{5(3)}{8} = \frac{15}{8}

Answer: \frac{15}{8} = 1\frac{7}{8}

Alex17521 [72]3 years ago
4 0

Please post your question.

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You have 600 feet of fencing to enclose a rectangular plot that borders on a river. If you do not fence the side along the river
inn [45]

Answer:

The length and width of plot is L=300\:ft, W=150\:ft

Largest area of the plot is A=45000 ft^{2}

Step-by-step explanation:

Assume width as x and length as y. Given that length of fencing is 600 feet and fencing is enclosed on 3 sides. So perimeter is given as,

Perimeter = width + length + width

Substituting the value,  

600=x+y+x

600= 2x+y  ….1

Now area of fence of rectangular box is given as follows,  

A=xy  ….2

Solving equation 1 for y, subtracting 2x from both sides,  

600-2x= y

Substituting the value in equation 2,  

A=x\left (600-2x  \right )

Simplifying

A=600x-2x^{2}

Rewriting,  

A=-2x^{2}+600x

Above equation looks like quadratic equation f\left ( x \right )=ax^{2}+bx+c whose graph looks like parabola.  

Comparing equation f(x) and A values of a, b and c are, a=-2,b=600 and c=0.  

Now maximum of f\left ( x \right ) occurs at vertex.  

The x coordinate of the vertex is given as -\dfrac{b}{2a}

Substituting the values,  

x=-\dfrac{600}{2\left (-2  \right )}

Simplifying,  

x=\dfrac{600}{4}

x=150

So width of plot is 150 feet.  

Now to calculate value of length by using equation 1,

600= 2x+y

Substituting the values,

600= 2\left (150  \right )+y

600= 300+y

Subtracting 300 from both sides,

300= y

So length of plot is 300 ft.

The y coordinate of the vertex is given as y=f\left ( -\dfrac{b}{2a} \right ) which also means, y=f\left ( 150 \right )

\therefore A=-2\left (150  \right )^{2}+600\left (150  \right )

Simplifying,  

\therefore A=-2\left (22500  \right )^{2}+600\left (150  \right )

\therefore A=-45000+90000

\therefore A=45000

So, area of the plot will be A=45000 ft^{2}

7 0
3 years ago
Kim wants to buy art supplies that normally costs $50, but are on sale for 20% off. What is the sale price for the art supplies?
stepan [7]

Answer:

$40

Step-by-step explanation:

100% - 20% = 80%

80% of $50 = 0.8 × $50 = $40

4 0
1 year ago
Question is in the picture:)
Bingel [31]

Answer: It would probably be 30

Step-by-step explanation:

The ratio is 10:0 , 20:10 , 30:20 , 40:30 , 50:40, 60:50 , etc…

so basically you just need to know the ratios!

Hope I could help :)

6 0
2 years ago
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Which statements are true?
Nimfa-mama [501]
All rectangles are parallelograms. Hope this helps.
4 0
3 years ago
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A lamborghini traveled 220 miles in 4 hours. How many miles does the lamborghini drive per hour (speed)?
Aleonysh [2.5K]

Answer:

55 mph

Step-by-step explanation:

220m    per 4 hours  

so 220 devieded by 4 gives u your answer

6 0
2 years ago
Read 2 more answers
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